Adding 90° to an angle 5. Angles 0 and (0 + 90°) are shown. P(a,b) a. Explain why the coordinates of point S are (-b, a). Hint: Draw segments downward from S and from P to create two right triangles. What can you prove about those triangles? e+90 b. Find all the relationships you can between the trigonometric functions of 0 and the trigonometric functions of (0 + 90°). There's something to find for each of the six functions.
Adding 90° to an angle 5. Angles 0 and (0 + 90°) are shown. P(a,b) a. Explain why the coordinates of point S are (-b, a). Hint: Draw segments downward from S and from P to create two right triangles. What can you prove about those triangles? e+90 b. Find all the relationships you can between the trigonometric functions of 0 and the trigonometric functions of (0 + 90°). There's something to find for each of the six functions.
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Transcribed Image Text:Adding 90° to an angle
5. Angles 0 and (0 + 90°) are shown.
P(a,b)
a. Explain why the coordinates of
point S are (-b, a).
Hint: Draw segments downward
from S and from P to create two
S
right triangles. What can you prove
about those triangles?
e+90
b. Find all the relationships you can
between the trigonometric functions
of 0 and the trigonometric
functions of (0 + 90°). There's
something to find for each of the
six functions.
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